213802982429760 has 1344 divisors, whose sum is σ = 838224025067520. Its totient is φ = 51637497200640.

The previous prime is 213802982429749. The next prime is 213802982429809. The reversal of 213802982429760 is 67924289208312.

213802982429760 is a `hidden beast` number, since 2 + 1 + 38 + 0 + 298 + 24 + 297 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7335319507 + ... + 7335348653.

It is an arithmetic number, because the mean of its divisors is an integer number (623678590080).

Almost surely, 2^{213802982429760} is an apocalyptic number.

213802982429760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213802982429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419112012533760).

213802982429760 is an abundant number, since it is smaller than the sum of its proper divisors (624421042637760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213802982429760 is a wasteful number, since it uses less digits than its factorization.

213802982429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29406 (or 29384 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 213802982429760 in words is "two hundred thirteen trillion, eight hundred two billion, nine hundred eighty-two million, four hundred twenty-nine thousand, seven hundred sixty".